Three-dimensional black hole entropy
Jan Troost, Asato Tsuchiya
TL;DR
This paper explores the properties of 3D gravity with negative cosmological constant using Chern-Simons theory, reexamines BTZ black hole entropy, and discusses constraints from unitarity and modular invariance in the boundary CFT.
Contribution
It provides a detailed analysis of black hole entropy in 3D gravity within the Chern-Simons framework, emphasizing the impact of boundary conformal field theory constraints.
Findings
Unitarity and modular invariance impose strong restrictions on entropy proposals.
Reanalysis of BTZ entropy clarifies the role of boundary conditions.
Constraints help refine the understanding of quantum aspects of 3D black holes.
Abstract
We discuss in detail the properties of gravity with a negative cosmological constant as viewed in Cherns-Simons theory on a line times a disc. We reanalyze the problem of computing the BTZ entropy, and show how the demand of unitarity and modular invariance of the boundary conformal field theory severely constrain proposals in this framework.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.